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Finding the Third Proportional to 44,469 and 98,273.25

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Solution

The third proportional to 44,469 and 98,273.25 is: 217,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,469 : 98,273.25 = 98,273.25 : x
  2. Step 2: Convert to fraction form
    44,469/98,273.25 = 98,273.25/x
  3. Step 3: Cross multiply
    44,469x = 98,273.25 × 98,273.25
  4. Step 4: Simplify right side
    44,469x = 9,657,631,665.56
  5. Step 5: Solve for x
    x = 9,657,631,665.56/44,469
  6. Step 6: Final answer
    x = 217,176.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.